Common Core State Standards Content Area: Geometry Grade Level: Grade 8 Domain: Geometry Cluster: Understand and apply the Pythagorean Theorem Standard: 7. Apply the Pythagorean Theorem to determine the unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions, 8. Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.
What understandings are desired?
Students will understand that:(U)
• the Pythagorean Theorem is everywhere in the world.
• the Pythagorean Theorem can be used to find unknown distances.
• right triangles are in many different polygons.
What essential questions will be considered?
Essential Questions:(Q)
• How can you use the Pythagorean Theorem in a real life situation?
• Why can the Pythagorean Theorem be used to find the unknown distances?
• How can you use other polygons to find right triangles?
What key knowledge and skills will students acquire as a result of this unit?
• design right triangles in different polygons.
• evaluate the distance between two points.
• solve unknown side lengths in a right triangle.
• compare polygons to find right triangles.
• believe they can use Pythagorean Theorem in the world.
• recognize right triangles in the real world.
Stage 1 - Identify Desired Results
Content Area: Geometry
Grade Level: Grade 8
Domain: Geometry
Cluster: Understand and apply the Pythagorean Theorem
Standard: 7. Apply the Pythagorean Theorem to determine the unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions, 8. Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.
What understandings are desired?
• the Pythagorean Theorem can be used to find unknown distances.
• right triangles are in many different polygons.
What essential questions will be considered?
• Why can the Pythagorean Theorem be used to find the unknown distances?
• How can you use other polygons to find right triangles?
What key knowledge and skills will students acquire as a result of this unit?
• Formulas: Pythagorean Theorem- a^2 +b^2= c^2
• Critical Ideas: isolating variable, square root, substitution, solving equations, distance
• evaluate the distance between two points.
• solve unknown side lengths in a right triangle.
• compare polygons to find right triangles.
• believe they can use Pythagorean Theorem in the world.
• recognize right triangles in the real world.
2004 ASCD and Grant Wiggins and Jay McTighe.